3 papers
math.AP2026
Polar director structure of SmAP phase of bent-core liquid crystals in thin planar cells with bias electric field
Alec D. Wendland, Xiaodong Yan
We study the polar director structure in thin planar cells filled with bent-core liquid crystals in the ferroelectric smectic-A phase (SmAP). We analyze a continuum phen…
math.AP2023
A phase field model for the motion of prismatic dislocation loops by both climb and self-climb
Xiaohua Niu, Xiaodong Yan
We study the sharp interface limit and well-posedness of a phase field model for self-climb of prismatic dislocation loops in periodic settings. The model is set up in a Cahn-Hilli…
math.AP2022
Well-posedness of a modified degenerate Cahn-Hilliard model for surface diffusion
Xiaohua Niu, Yang Xiang, Xiaodong Yan
We study the well-posedness of a modified degenerate Cahn-Hilliard type model for surface diffusion. With degenerate phase-dependent diffusion mobility and additional stabilizing f…